How to Find GCF of 3569/946, 4833/2966?

GCF of 3569/946, 4833/2966

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 3569/946, 4833/2966 i.e 1/1402918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3569/946, 4833/2966.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 3569/946,4833/2966?

Given fractions are 3569/946,4833/2966

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 3569/946,4833/2966, numerators are 3569,4833

Denominators are 946,2966

The GCF of 3569,4833 is 1 .

LCM of 946,2966 is 1402918.

The greatest common factor of 3569/946,4833/2966 = [GCF of 3569,4833]/[LCM of 946,2966]= 1/1402918

Therefore, the GCF of 3569/946,4833/2966 is 1/1402918.

Greatest Common Factor of 3569,4833

To find the highest common factor of 3569,4833, we have to find the factors of both numbers and list the highest common factor.

The factors of 3569 are 1, 43, 83, 3569

The factors of 4833 are 1, 3, 9, 27, 179, 537, 1611, 4833

The HCF of 3569,4833 is 1.

Lets's calculate GCF of 3569,4833

Greatest Common Factor (GCF) of 3569,4833 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3569,4833 By Matching Biggest Common Factor Method

Now, list down the factors of 3569

1,43,83,3569

Now, list down the factors of 4833

1,3,9,27,179,537,1611,4833

Greatest Common Factor

We found the factors 3569,4833 . The biggest common factor number is the GCF number.
So the greatest common factor 3569,4833 is 1.

Lets's calculate LCM of 946,2966

Lowest Common Multiple of 946,2966 using Common Division

2	946, 2966
	473, 1483

∴ So the LCM of the given numbers is 2 x 473 x 1483 = 1402918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1402918

Therefore, the GCF of Fractions 3569/946,4833/2966 is 1/1402918

Least Common Multiple of 946,2966 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 946,2966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,2966) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(946,2966) x common factors =2 x 1 = 2

LCM(946,2966) = ( 946 × 2966 ) / 2

LCM(946,2966) = 2805836 / 2

LCM(946,2966) = 1402918

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3569/946, 4833/2966

1. What is the HCF of 3569,4833?

The HCF of 3569,4833 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 3569/946, 4833/2966?

Answer: GCF of Numerators as per given numbers 3569/946, 4833/2966 is

GCF of Numerators i.e. for 3569,4833 is 1

LCM of denominators i.e. for 946,2966 is 1402918.

Thus, GCF of Fractions is 1/1402918.Finally, GCF of Fractions for 3569/946, 4833/2966 is 1/1402918.